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Title: Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories

We establish a linear relation between the a-type Weyl anomaly and the ’t Hooft anomaly coeffcients for the R-symmetry and gravitational anomalies in sixdimensional (1,0) superconformal field theories. For RG flows onto the tensor branch, where conformal symmetry is spontaneously broken, supersymmetry relates the anomaly mismatch Δa to the square of a four-derivative interaction for the dilaton. This establishes the a-theorem for all such flows. The four-derivative dilaton interaction is in turn related to the Green-Schwarz-like terms that are needed to match the ’t Hooft anomalies on the tensor branch, thus fixing their relation to Δa. We use our formula to obtain exact expressions for the a-anomaly of N small E 8 instantons, as well as N M 5-branes probing an orbifold singularity, and verify the a-theorem for RG flows onto their Higgs branches. We also discuss aspects of supersymmetric RG flows that terminate in scale but not conformally invariant theories with massless gauge fields.
Authors:
 [1] ;  [1] ;  [2]
  1. Harvard Univ., Cambridge, MA (United States)
  2. Univ. of California, San Diego, CA (United States)
Publication Date:
Grant/Contract Number:
SC0007870
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1425881

Córdova, Clay, Dumitrescu, Thomas T., and Intriligator, Kenneth. Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories. United States: N. p., Web. doi:10.1007/JHEP10(2016)080.
Córdova, Clay, Dumitrescu, Thomas T., & Intriligator, Kenneth. Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories. United States. doi:10.1007/JHEP10(2016)080.
Córdova, Clay, Dumitrescu, Thomas T., and Intriligator, Kenneth. 2016. "Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories". United States. doi:10.1007/JHEP10(2016)080. https://www.osti.gov/servlets/purl/1425881.
@article{osti_1425881,
title = {Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories},
author = {Córdova, Clay and Dumitrescu, Thomas T. and Intriligator, Kenneth},
abstractNote = {We establish a linear relation between the a-type Weyl anomaly and the ’t Hooft anomaly coeffcients for the R-symmetry and gravitational anomalies in sixdimensional (1,0) superconformal field theories. For RG flows onto the tensor branch, where conformal symmetry is spontaneously broken, supersymmetry relates the anomaly mismatch Δa to the square of a four-derivative interaction for the dilaton. This establishes the a-theorem for all such flows. The four-derivative dilaton interaction is in turn related to the Green-Schwarz-like terms that are needed to match the ’t Hooft anomalies on the tensor branch, thus fixing their relation to Δa. We use our formula to obtain exact expressions for the a-anomaly of N small E8 instantons, as well as N M5-branes probing an orbifold singularity, and verify the a-theorem for RG flows onto their Higgs branches. We also discuss aspects of supersymmetric RG flows that terminate in scale but not conformally invariant theories with massless gauge fields.},
doi = {10.1007/JHEP10(2016)080},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2016,
place = {United States},
year = {2016},
month = {10}
}